Interval/Set Notation
Multi-Step Absolute Value Equations
Absolute Value Functions
One-Step Absolute Value Inequalities
Multi-Step Absolute Value Inequalities
100
Write this interval in interval notation: 2≤x≤9
[2,9]
100
lv+8l-5=2
v=-15,-1
100
What is the range of this function:
(-∞,4]
100
l6nl<18
n<3,n>-3
100
lx+2l+2<4
x>-4,x<0
200
Write this interval in interval notation x≤6.
(-∞,6]
200
l5xl+5=45
x=-8,8
200
On what interval are absolute value functions continuous?
(-∞,∞)
200
lx-2l<8
x<10,x>-6
200
2lx+3l>8
x<-7,x>1
300
Write this set of numbers in set-builder notation (-6,15].
{x|-6<x≤15}
300
6l1-5xl-9=57
x=-2, 12/5
300
How many y-intercepts will an absolute value function have?
1
300
l1+bl<4
b<3, b>-5
300
2lx+2l-1<8
x<1, x>-5
400
Write this set of numbers in set-builder notation: the set of all numbers less than or equal to 5.
{x|x≤5}
400
l8x+4l/2=16
x=-9/2,7/2
400
Does an absolute value function have extrema?
Yes
400
l10p-4l<34
p<19/5, p>-3
400
2lx+9l+3>7
x>-7,x<-11
500
True or false, we use square brackets [ ] when describing an interval with infinity?
FALSE!!! We ALWAYS use parenthesis with infinity.
500
2l100x+4l+6=6x+4
x=-5/97 (extraneous),x=-3/103
500
TRUE OR FALSE, every y-value of an absolute value function has only ONE x-value it corresponds with.
False
500
l5+b/5l<10
b<25, b>-75
500
3lx/7l>21
x>49,x<-49